Chapter 11: Coordinate Graphing 135
DEFINITION
The Cartesian coordinate system, named for René Descartes, is a rectangular
coordinate system that locates every point in the plane with an ordered pair
of numbers, (x,y). The x-coordinate indicates horizontal movement, and the
y-coordinate vertical movement.
The x-axis and y-axis divide the graphing area into four sections called quadrants. The following
graph shows the point (3,7) in the upper right quadrant, which is quadrant I. The point (-2,5) is in
the upper left quadrant, quadrant II. In the lower left quadrant, called quadrant III, you can see
the point (-3,-1), and in quadrant IV on the lower right, the point (4,-3). The point (5,0) sits on the
x-axis, and (0, 4) is on the y-axis.
-6 -2 062
-2
2
4
6
-4
-6
-8-9 -7 -5 -4 -1-3 134 5 78 9
-8
-9
-1
-3
-5
-7
8
9
1
3
5
7
-10 10
-10
10
y
x
Quadrant II Quadrant I
Quadrant III Quadrant IV
(3,7)
(-2,5)
(5,0)
(4,-3)
(-3,-1)
(0,4)